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Finding the Fourth Proportional to 348.42, 480.77 and 217.38

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Solution

The fourth proportional to 348.42, 480.77 and 217.38 is: 299.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    348.42 : 480.77 = 217.38 : x
  2. Step 2: Convert to fraction form
    348.42/480.77 = 217.38/x
  3. Step 3: Cross multiply
    348.42x = 480.77 × 217.38
  4. Step 4: Simplify right side
    348.42x = 104,508.70
  5. Step 5: Solve for x
    x = 104,508.70/348.42
  6. Step 6: Final answer
    x = 299.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.